She also visited Croke Park, scene of the original Bloody Sunday massacre when the Black and Tans killed 14 players and fans at a GAA match in 1920.

Speaking to an audience which included President Mary McAleese at the Dublin Castle banquet, the Queen offered her ‘sincere thoughts and deep sympathy” to the victims of Ireland and the UK’s troubled past.

She added: “We can all see things which we would wish had been done differently or not at all.” Adams has publicly welcomed the comments as the Queen’s four day tour winds down with visits to the Rock of Cashel and Cork’s English Market on Friday.

“I hope some good will come from this visit and I particularly was taken by Queen Elizabeth’s sincere expression of sympathy to all those who had suffered in the course of the conflict,” said Adams, recently elected to the Irish parliament.

“If there is to be more benefit out of this, it will be if it moves beyond these important gestures and remarks.

“It’s another step in the journey. It was the conditions created by the peace process which allowed this to happen.

“It’s a page in a book - and we need to write the next page and the next page and keep moving the process on.”

The Queen offered no apology for the actions of Royal forces in Ireland over the years but Adams admitted: “I never expected that.”